Given numbers are 820,920,753,660,873

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 820,920,753,660,873 is 90918515160.

Find LCM of 820,920,753,660,873 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 41 x 46 x 251 x 11 x 291 = 90918515160

Therefore, the lowest common multiple of 820,920,753,660,873 is 90918515160.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

820 x 920 x 753 x 660 x 873 = 327306654576000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

753 : 1, 3, 251, 753

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

873 : 1, 3, 9, 97, 291, 873

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,920,753,660,873, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

920:2x 2x 2x 5x 23

753:3x 251

660:2x 2x 3x 5x 11

873:3x 3x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 327306654576000/(1x3600)

LCM = 327306654576000/3600

LCM = 90918515160

Thus, we can understand that the LCM of 820,920,753,660,873 is 90918515160.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 386, 948, 729, 101, 640
• LCM of 508, 455, 405, 356, 180
• LCM of 987, 318, 871, 699, 205
• LCM of 510, 206, 123, 310, 640
• LCM of 763, 789, 320, 415, 136

1. What is the LCM of 820, 920, 753, 660, 873?

Answer: LCM of 820, 920, 753, 660, 873 is 90918515160.

2. How to calculate the LCM of 820, 920, 753, 660, 873?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 820, 920, 753, 660, 873.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.